Fine - there were 30 (not 40) in the Coalition. 3 sent combat troops. Two sent a material number.
http://news.bbc.co.uk/2/hi/americas/2862343.stm
There are well over 200 countries in the world, and I seem to recall that a significant number of the 30 odd who were part of the "Coalition of the Willing" were (a) pip-squeak sized (even compared to NZ in some cases

; and (b) doing it to curry favour with the US.
Granted, (b) is pretty much editorial on my part.
Compare and contrast to the support in Afghanistan and you'll understand why only one invasion satisfies the smell test.
Saddam smelled a lot, but the "preemptive war" doctrine requires an imminent threat. There
was major disagreement as to whether Saddam was an imminent threat (not that Bush used those exact words, but then again, what is the justification for a preemptive war if not to defend against an imminent threat?)...